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Finding the Fourth Proportional to 208,248.38, 287,382.90 and 112,755.14

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Solution

The fourth proportional to 208,248.38, 287,382.90 and 112,755.14 is: 155,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,248.38 : 287,382.90 = 112,755.14 : x
  2. Step 2: Convert to fraction form
    208,248.38/287,382.90 = 112,755.14/x
  3. Step 3: Cross multiply
    208,248.38x = 287,382.90 × 112,755.14
  4. Step 4: Simplify right side
    208,248.38x = 32,403,899,123.11
  5. Step 5: Solve for x
    x = 32,403,899,123.11/208,248.38
  6. Step 6: Final answer
    x = 155,602.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.